Shape Optimization of a Double-Layer Space Truss Described by a Parametric Surface

M. Ohsaki, Tsuneyoshi Nakamura, M. Kohiyama

doi:10.1177/026635119701200205

Shape Optimization of a Double-Layer Space Truss Described by a Parametric Surface

DOI Web Site 被引用文献9件

M. Ohsaki

Department of Architecture and Architectural Systems, Kyoto University, Sakyo, Kyoto 606-01, Japan
Tsuneyoshi Nakamura

Department of Architecture and Environmental Design, Kyoto University, Sakyo, Kyoto 606-01, Japan
M. Kohiyama

Kajima Technical Research Institute, Chofu 182, Japan.

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説明

<jats:p> A method is presented for finding the optimal configuration of a double-layer space truss described by a parametric surface. The number of design variables is drastically reduced, without sacrificing the smoothness of the upper layer surface, by using the control net parameters as design variables. The coordinates of the lower nodes are defined by using a vertical or normal offset vectors from the upper surface. Curvatures of the curve associated with the lower polygon are calculated for evaluating feasibility and regularity of the a double-layer lattice space truss. In the examples, a feasible optimum design, which minimizes compliance under constraints on structural volume, are successfully found by using the proposed method. It is shown that the optimal solutions strongly depend on the specified ratios of the cross-sectional areas of the members. </jats:p>